Percentages Question 1 - CAT 2021
In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will become 50%.
If instead they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will be:
Step-by-Step Explanation
The team has played 40 matches and won 30%, i.e., 12 matches.
Let the remaining matches be x.
If they win 60% of the remaining matches, the overall win percentage becomes 50%.
(12 + 0.6x) / (40 + x) = 12 / 24
24 + 1.2x = 40 + x
0.2x = 16
x = 80
If they instead win 90% of the remaining matches,
0.9 × 80 = 72
Total matches won:
12 + 72 = 84
Hence, the correct answer is Option C.
💡 FundaMakers Tip: Whenever the total number of remaining matches is unknown, assume it as a variable and use the overall percentage equation.